检索结果-南通市图书馆

Applied Mathematics and Mechanics(English Edition) 2021年第1期42卷 1-16页

作者： Zhangna XUE Gongqi CAO Jianlin LIU College of Pipeline and Civil Engineering China University of Petroleum(East China)Qingdao 266580Shandong ProvinceChina

The size effects on heat conduction and elastic deformation are becoming significant along with the miniaturization of the device and wide application of ultrafast *** this work,to better describe the transient responses of nanostructures,a size-dependent thermoelastic model is established based on nonlocal dual-phase-lag(N-DPL)heat conduction and Eringen's nonlocal elasticity,which is applied to the one-dimensional analysis of a finite bi-layered nanoscale plate under a sudden thermal *** the numerical part,a semi-analytical solution is obtained by using the Laplace transform method,upon which the effects of size-dependent characteristic lengths and material properties of each layer on the transient responses are discussed *** results show that the introduction of the elastic nonlocal parameter of Medium 1 reduces the displacement and compressive stress,while the thermal nonlocal parameter of Medium 1 increases the deformation and compressive *** findings may be beneficial to the design of nano-sized and multi-layered devices.

关键词： thermoelasticity size effect multi-layered nanostructure

Multiscale RBF-based central high resolution schemes for simulation of generalized thermoelasticity problems

在线全文

学校读者我要写书评

暂无评论

Frontiers of Structural and Civil Engineering 2019年第2期13卷 429-455页

作者： Hassan YOUSEFI Alireza TAGHAVI KANI Iradj MAHMOUDZADEH KANI School of Civil Engineering College of EngineeringUniversity of TehranTehran11155-4563Iran Department of Civil Engineering Arak University of TechnologyArak***Iran

In this study, average-interpolating radial basis functions (RBFs) are successfully integrated with central high-resolution schemes to achieve a higher-order central method. This proposed method is used for simulation of generalized coupled thermoelasticity problems including shock (singular) waves in their solutions. The thermoelasticity problems include the LS (systems with one relaxation parameter) and GN (systems without energy dissipation) theories with constant and variable coefficients. In the central high resolution formulation, RBFs lead to a reconstruction with the optimum recovery with minimized roughness on each cell: this is essential for oscillation-free reconstructions. To guarantee monotonic reconstructions at cell-edges, the nonlinear scaling limiters are used. Such reconstructions, finally, lead to the total variation bounded (TVB) feature. As RBFs work satisfactory on non-unifdrm cells/grids, the proposed central scheme can handle adapted cells/grids. To have cost effective and accurate simulations, the multiresolution-based grid adaptation approach is then integrated with the RBF-based central scheme. Effects of condition numbers of RBFs, computational complexity and cost of the proposed scheme are studied. Finally, different 1-D coupled thermoelasticity benchmarks are presented. There, perfonnance of the adaptive RBF-based formulation is compared with that of the adaptive Kurganov-Tadmor (KT) second-order central high-resolution scheme with the total variation diminishing (TVD) property.

关键词： central high resolution schemes RBFs higher order accuracy generalized thermoelasticity multiresolutionbased adaptation

MULTI-SCALE FE COMPUTATION FOR THE STRUCTURES OF COMPOSITE MATERIALS WITH SMALL PERIODIC CONFIGURATION UNDER CONDITION OF COUPLED thermoelasticity

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mechanica Sinica 2004年第1期20卷 54-63页

作者：冯永平崔俊芝 Department of Mathematics School of SciencesGuangzhou UniversityGuangzhou 510405China Academy of Mathematics and System Sciences Chinese Academy of SciencesBeijing 100080China

In this paper,the multi-scale computational method for a structure of composite materials with a small periodic configuration under the coupled thermoelasticity condition is presented. The two-scale asymptotic(TSA)expression of the displacement and the increment of temperature for composite materials with a small periodic configuration under the condition of thermoelasticity are briefly shown at first,then the multi-scale finite element algorithms based on TSA are *** the numerical results evaluated by the multi-scale computational method are *** demonstrates that the basic configuration and the increment of temperature strongly influence the local strains and local stresses inside a basic cell.

关键词： two-scale method thermoelasticity periodic structure

Reflection of three-dimensional plane waves at the free surface of a rotating triclinic half-space under the context of generalized thermoelasticity

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2021年第9期42卷 1363-1378页

作者： P.SINGH A.K.SINGH A.CHATTOPADHYAY Department of Mathematics and Computing Indian Institute of Technology(ISM)Dhanbad-826004JharkhandIndia

The reflection of three-dimensional(3D) plane waves in a highly anisotropic(triclinic) medium under the context of generalized thermoelasticity is studied. The thermoelastic nature of the 3D plane waves in an anisotropic medium is investigated in the perspective of the three-phase-lag(TPL), dual-phase-lag(DPL), Green-Naghdi-III(GNIII), Lord-Shulman(LS), and classical coupled(CL) theories. The reflection coefficients and energy ratios for all the reflected waves are obtained in a mathematical form. The rotational effects on the reflection characteristics of the 3D waves are discussed under the context of generalized thermoelasticity. Comparative analyses for the reflection coefficients of the waves among these generalized thermoelastic theories are performed. The energy ratios for each of the reflected waves establish the energy conservation law in the reflection phenomena of the plane waves. The highly anisotropic materials along with the rotation may have a significant role in the phenomenon of the reflection behavior of the 3D waves. Numerical computations are performed for the graphical representation of the study.

关键词： reflection energy ratio triclinic thermoelasticity rotation three-dimensional(3D)wave

Energy Decay in thermoelasticity with Viscoelastic Damping of General Type

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2015年第2期31卷 331-344页

作者： Muhammad I.MUSTAFA King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics

In this paper we consider an n-dimensional thermoelastic system with viscoelastic damping. We establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a larger class of relaxation functions and generalizes previous results existing in the literature.

关键词： thermoelasticity viscoelastic damping general decay convexity

Ultrafast thermoelasticity modeling of microbump formation irradiated by femtosecond laser

在线全文

学校读者我要写书评

暂无评论

Chinese Optics Letters 2008年第8期6卷 619-621页

作者：韩泽华周常河戴恩文 Shanghai Institute of Optics and Fine Mechanics Chinese Academy of Sciences

Finite element method and ultrafast thermoelasticity model are combined to simulate the microbump formation irradiated by a femtosecond laser. It has been shown that the effect of microbump formation is related to the characteristic of incident femtosecond laser and the thermoelasticity properties of the film. The numerical results exhibit good agreements with the experimental results in both the shape and height of the conical microbump structure, which verify the effectiveness of the ultrafast thermoelasticity model in experiments. It should be helpful for selecting appropriate materials for nanotexturing of thin films by ultrafast lasers.

关键词： Elasticity Films Lasers Pulsed laser applications thermoelasticity Thick films Ultrashort pulses

DIFFERENTIAL-ALGEBRAIC APPROACH TO COUPLED PROBLEMS OF DYNAMIC thermoelasticity

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2006年第9期27卷 1185-1196页

作者： WANG Lin-xiang Roderick V. N. Melnik MCI Faculty of Science and Engineering University of Southern Denmark Sonderborg DK-6400 Denmark Center for Coupled Dynamics ＆ Complex Systems Wilfrid Laurier University 75 University Avenue West Waterloo ON Canada N2L3C5

An efficient numerical approach for the general thermomechanical problems was developed and it was tested for a two-dimensional thermoelasticity problem. The main idea of our numerical method is based on the reduction procedure of the original system of PDEs describing coupled thermomechanical behavior to a system of Differential Algebraic Equations （DAEs） where the stress-strain relationships are treated as algebraic equations. The resulting system of DAEs was then solved with a Backward Differentiation Formula （BDF） using a fully implicit algorithm. The described procedure was explained in detail, and its effectiveness was demonstrated on the solution of a transient uncoupled thermoelastic problem, for which an analytical solution is known, as well as on a fully coupled problem in the two-dimensional case.

关键词： thermoelasticity two-dimensional differential-algebraic solvers

DEPENDENCE OF MODULUS OF ELASTICITY AND THERMAL CONDUCTIVITY ON REFERENCE TEMPERATURE IN GENERALIZED thermoelasticity FOR AN INFINITE MATERIAL WITH A SPHERICAL CAVITY

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2005年第4期26卷 470-475页

作者： Hamdy M.Youssef Mathematical Department Faculty of Engineering Umm Al_Qura UniversityMakkah Al_Mokaramah P.5555 Saudi Arabia

The equations of generalized thermoelasticity with one relaxation time with variable modulus of elasticity and the thermal conductivity were used to solve a problem of an infinite material with a spherical *** inner surface of the cavity was taken to be traction free and acted upon by a thermal shock to the surface. Laplace transforms techniques were used to obtain the solution by a direct *** inverse Laplace transforms was obtained *** temperature,displacement and stress distributions are represented graphically.

关键词： thermoelasticity generalized thermoelasticity modulus of elasticity thermal conductivity

thermoelasticity of CaO from first principles

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2007年第2期16卷 499-505页

作者：刘子江祁建宏郭嫒陈其峰蔡灵仓杨向东 Institute of Electronic Information Science and Technology Lanzhou City University Lanzhou 730070 China Laboratory for Shock Wave and Detonation Physics Research Institute of Fluid Physics P. O. Box 919-102 China Academy of Engineering Physics Mianyang 621900 China Institute of Atomic and Molecular Physics Sichuan University Chengdu 610065 China

The thermoelastic properties of CaO over a wide range of pressure and temperature are studied using density functional theory in the generalized gradient approximation. The transition pressure taken from the enthalpy calculations is 66.7 GPa for CaO, which accords with the experimental result very well. The athermal elastic moduli of the two phases of CaO are calculated as a function of pressure up to 200 GPa. The calculated results are in excellent agreement with existing experimental data at ambient pressure and compared favourably with other pscudopotential predictions over the pressure regime studied. It is also found that the degree of the anisotropy rapidly decreases with pressure increasing in the B1 phase, whereas it strongly increases as the pressure increases in the B2 phase. The thermodynamic properties of the B1 phase of CaO are predicted using the quasi-harmonic Debye model; the heat capacity and entropy arc consistent with other previous results at zero pressure.

关键词： thermoelasticity high pressure first principles quasi-harmonic Debye model

A Generalized Variational Principle for Coupled thermoelasticity with Finite Displacement

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 215-218页

作者： Jihuan HE Gaolian LIU and Weibing FENG (Institute of Appl. Math. & Mech., Shanghai Uni., Shanghai 200072, China)E--mails glliu@*** Institute of Appl. Math. Mech. Shanghai Uni. Shanghai 200072 China

Via the semi-inverse method proposed by He, a generallied variational principle of classical type (not Gurtin -type & not involving convolutions) for the entitled problem of linear anisotropic materials has been obta... 详细信息

关键词： variational technique thermoelasticity